{
 "metadata": {
  "name": "",
  "signature": "sha256:a5f9176fbdaac052de7bb234934cb395955d5f73ff7e3b57c4bdf6d95ba62f38"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%load_ext watermark"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "The watermark extension is already loaded. To reload it, use:\n",
        "  %reload_ext watermark\n"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "watermark -d -a \"Sebastian Raschka\" -v"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Sebastian Raschka 24/07/2014 \n",
        "\n",
        "CPython 3.4.1\n",
        "IPython 2.1.0\n"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<font size=\"1.5em\">[More information](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/ipython_magic/watermark.ipynb) about the `watermark` magic command extension.</font>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "data = {'crystal': [-3.98, -0.66, -3.32], \n",
      "        'pose 1': [-0.5056, 1.2293, -1.7349],\n",
      "        'pose 2': [-1.3110, 1.1621, -2.4731]}\n",
      "labels = ['Final Intermolecular Energy in kcal/mol',\n",
      "          'vdW + Hbond + desolv Energy in kcal/mol',\n",
      "          'Electrostatic Energy in kcal/mol']\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from mpl_toolkits.mplot3d import Axes3D\n",
      "import numpy as np\n",
      "from matplotlib import pyplot as plt\n",
      "\n",
      "\n",
      "fig = plt.figure(figsize=(6,6))\n",
      "ax = ax=Axes3D(fig)\n",
      "\n",
      "colors = ['green', 'blue', 'red']\n",
      "markers = ['s', 'o', '^']\n",
      "\n",
      "for lab,mar,col in zip(data.keys(), markers, colors):\n",
      "    ax.scatter(data[lab][1], data[lab][2], data[lab][0], \n",
      "           marker=mar, color=col, s=140, label=lab, alpha=0.7)\n",
      "\n",
      "\n",
      "ax.set_xlabel(labels[1])\n",
      "ax.set_ylabel(labels[2])\n",
      "ax.set_zlabel(labels[0])\n",
      "ax.legend()\n",
      "\n",
      "plt.title('Intermolecular energy components')\n",
      "     \n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAG+CAYAAADsjWHpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1060c4ac8>"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib\n",
      "\n",
      "fig = plt.figure(figsize=(6,6))\n",
      "\n",
      "colors = ['green', 'blue', 'red']\n",
      "\n",
      "lab1 = matplotlib.lines.Line2D([0],[0], linestyle=\"none\", c=colors[0], marker=markers[0])\n",
      "lab2 = matplotlib.lines.Line2D([0],[0], linestyle=\"none\", c=colors[1], marker=markers[1])\n",
      "lab3 = matplotlib.lines.Line2D([0],[0], linestyle=\"none\", c=colors[2], marker=markers[2])\n",
      "plt.legend([lab1,lab2,lab3], data.keys(), numpoints=1, prop={'size':16}, fontsize=16)\n",
      "\n",
      "plt.plot()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAFwCAYAAACiguxSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0/j/7cR+nDHvEJAAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x105729d68>"
       ]
      }
     ],
     "prompt_number": 46
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "labels = ['Estimated Free Energy of Binding',\n",
      "          'Final Intermolecular Energy',\n",
      "          'Final Total Internal Energy',\n",
      "          'Torsional Free Energy',\n",
      "          \"Unbound System's Energy\"]\n",
      "\n",
      "crystal = [-2.19, -3.98, -2.53, 1.79, -2.53] \n",
      "pose1 = [1.28, -0.51, -2.55, 1.79, -2.55]\n",
      "pose2 = [0.48, -1.31, -2.12, 1.79, -2.12]\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 74
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt\n",
      "\n",
      "\n",
      "# Setting the positions and width for the bars\n",
      "pos = list(range(5)) \n",
      "width = 0.25 \n",
      "    \n",
      "# Plotting the bars\n",
      "fig, ax = plt.subplots(figsize=(8,6))\n",
      "\n",
      "plt.bar(pos, crystal, width,\n",
      "                 alpha=0.5,\n",
      "                 color='r',\n",
      "                 label=labels[0])\n",
      "\n",
      "plt.bar([p + width for p in pos], pose1, width,\n",
      "                 alpha=0.5,\n",
      "                 color='g',\n",
      "                 label=labels[1])\n",
      "    \n",
      "plt.bar([p + width*2 for p in pos], pose2, width,\n",
      "                 alpha=0.5,\n",
      "                 color='b',\n",
      "                 label=labels[2])\n",
      "\n",
      "# Setting axis labels and ticks\n",
      "ax.set_ylabel('kcal/mol')\n",
      "ax.set_title('Energy components of 3 ligand poses')\n",
      "ax.set_xticks([p + 1.5 * width for p in pos])\n",
      "ax.set_xticklabels(labels)\n",
      "\n",
      "# Setting the x-axis and y-axis limits\n",
      "plt.xlim(min(pos)-width, max(pos)+width*4)\n",
      "plt.ylim([min(crystal + pose1 + pose2) * 1.5, max(crystal + pose1 + pose2) * 1.5])\n",
      "\n",
      "# Adding the legend and showing the plot\n",
      "plt.legend(['crystal', 'pose 1 (RMSD 3.649 A)', 'pose 2 (RMSD 2.998 A)'], loc='lower right')\n",
      "\n",
      "# rotate axis labels\n",
      "plt.setp(plt.gca().get_xticklabels(), rotation=45, horizontalalignment='right')\n",
      "\n",
      "plt.grid()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAhMAAAHsCAYAAABojy91AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10570e240>"
       ]
      }
     ],
     "prompt_number": 78
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "crystal = [-3.98, -0.66, -3.32]\n",
      "pose1 = [-0.5056, 1.2293, -1.7349]\n",
      "pose2 = [-1.3110, 1.1621, -2.4731]\n",
      "labels = ['Final Intermolecular Energy in kcal/mol',\n",
      "          'vdW + Hbond + desolv Energy in kcal/mol',\n",
      "          'Electrostatic Energy in kcal/mol']\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 69
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt\n",
      "\n",
      "\n",
      "# Setting the positions and width for the bars\n",
      "pos = list(range(3)) \n",
      "width = 0.25 \n",
      "    \n",
      "# Plotting the bars\n",
      "fig, ax = plt.subplots(figsize=(8,6))\n",
      "\n",
      "plt.bar(pos, crystal, width,\n",
      "                 alpha=0.5,\n",
      "                 color='r',\n",
      "                 label=labels[0])\n",
      "\n",
      "plt.bar([p + width for p in pos], pose1, width,\n",
      "                 alpha=0.5,\n",
      "                 color='g',\n",
      "                 label=labels[1])\n",
      "    \n",
      "plt.bar([p + width*2 for p in pos], pose2, width,\n",
      "                 alpha=0.5,\n",
      "                 color='b',\n",
      "                 label=labels[2])\n",
      "\n",
      "# Setting axis labels and ticks\n",
      "ax.set_ylabel('kcal/mol')\n",
      "ax.set_title('Components of the final internal energy')\n",
      "ax.set_xticks([p + 1.5 * width for p in pos])\n",
      "ax.set_xticklabels(labels)\n",
      "\n",
      "# Setting the x-axis and y-axis limits\n",
      "plt.xlim(min(pos)-width, max(pos)+width*4)\n",
      "plt.ylim([min(crystal + pose1 + pose2) * 1.5, max(crystal + pose1 + pose2) * 1.5])\n",
      "\n",
      "# Adding the legend and showing the plot\n",
      "plt.legend(['crystal', 'pose 1 (RMSD 3.649 A)', 'pose 2 (RMSD 2.998 A)'], loc='lower right')\n",
      "\n",
      "# rotate axis labels\n",
      "plt.setp(plt.gca().get_xticklabels(), rotation=45, horizontalalignment='right')\n",
      "\n",
      "plt.grid()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAgcAAAIMCAYAAABhZg/4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmZmZmZmZmZmZmZmZ2Rf2T+xskOap6J8wAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x105d51828>"
       ]
      }
     ],
     "prompt_number": 72
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}